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5414124214145 = 511344992922973
BaseRepresentation
bin100111011001001001011…
…1100110101011110000001
3201011120210121212220202102
41032302102330311132001
51202201111244323040
615303114143400145
71066105021334063
oct116622274653601
921146717786672
105414124214145
1117a8131a78009
127353632b3055
1330371b98256a
1414a08b717733
1595c790d7515
hex4ec92f35781

5414124214145 has 32 divisors (see below), whose sum is σ = 6576399396000. Its totient is φ = 4278611083264.

The previous prime is 5414124214117. The next prime is 5414124214157.

5414124214145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 3937529831041 + 1476594383104 = 1984321^2 + 1215152^2 .

It is a cyclic number.

It is not a de Polignac number, because 5414124214145 - 212 = 5414124210049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5414124214099 and 5414124214108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235661879 + ... + 235684851.

It is an arithmetic number, because the mean of its divisors is an integer number (205512481125).

Almost surely, 25414124214145 is an apocalyptic number.

It is an amenable number.

5414124214145 is a deficient number, since it is larger than the sum of its proper divisors (1162275181855).

5414124214145 is a wasteful number, since it uses less digits than its factorization.

5414124214145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24469.

The product of its digits is 102400, while the sum is 38.

The spelling of 5414124214145 in words is "five trillion, four hundred fourteen billion, one hundred twenty-four million, two hundred fourteen thousand, one hundred forty-five".

Divisors: 1 5 113 449 565 929 2245 4645 22973 50737 104977 114865 253685 417121 524885 2085605 2595949 10314877 12979745 21341917 47134673 51574385 106709585 235673365 1165581101 2411636621 5827905505 9582520733 12058183105 47912603665 1082824842829 5414124214145